A Characterization of the Absolute Continuity in Terms of Convergence in Variation for the Sampling Kantorovich Operators

被引：0

作者：

Laura Angeloni

Danilo Costarelli

Gianluca Vinti

机构：

[1] University of Perugia,Department of Mathematics and Computer Science

来源：

Mediterranean Journal of Mathematics | 2019年 / 16卷

关键词：

Convergence in variation; sampling Kantorovich series; averaged kernel; variation diminishing-type property; generalized sampling series; 41A25; 41A05; 41A30; 47A58;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the convergence in variation for the sampling Kantorovich operators in both the cases of averaged-type kernels and classical band-limited kernels. In the first case, a characterization of the space of the absolutely continuous functions in terms of the convergence in variation is obtained.

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